Discriminating N-qudit states using geometric structure

Donghoon Ha and Younghun Kwon
Phys. Rev. A 90, 022330 – Published 26 August 2014

Abstract

Quantum state discrimination is a fundamental task having many applications in quantum information processing. However up to now there has been no rigorous formulation for discriminating N-qudit states. In this article we provide a geometric method to obtain minimum error discrimination for N-qudit states. By using the geometric approach to minimum-error discrimination for N-qudit states, we supply the condition for the existence of optimal measurement that can be composed of null operators, which gives a key understanding for discriminating N-qudit states. Furthermore we present how the number of nonzero operators for optimal measurement can be reduced. Applying our method to symmetric N-qudit states we obtain optimal measurements, which are different from known ones.

  • Received 14 March 2014

DOI:https://doi.org/10.1103/PhysRevA.90.022330

©2014 American Physical Society

Authors & Affiliations

Donghoon Ha and Younghun Kwon*

  • Department of Physics, Hanyang University, Ansan, Kyunggi-Do 425-791, South Korea

  • *yyhkwon@hanyang.ac.kr

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Issue

Vol. 90, Iss. 2 — August 2014

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